Partial equivalence of statistical ensembles and kinetic energy

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dc.creatorCasetti, Lapo
dc.creatorKastner, Michael
dc.date2007-01-15
dc.date.accessioned2026-07-07T08:31:54Z
dc.date.available2026-07-07T08:31:54Z
dc.descriptionThe phenomenon of partial equivalence of statistical ensembles is illustrated by discussing two examples, the mean-field XY and the mean-field spherical model. The configurational parts of these systems exhibit partial equivalence of the microcanonical and the canonical ensemble. Furthermore, the configurational microcanonical entropy is a smooth function, whereas a nonanalytic point of the configurational free energy indicates the presence of a phase transition in the canonical ensemble. In the presence of a standard kinetic energy contribution, partial equivalence is removed and a nonanalyticity arises also microcanonically. Hence in contrast to the common belief, kinetic energy, even though a quadratic form in the momenta, has a non-trivial effect on the thermodynamic behaviour. As a by-product we present the microcanonical solution of the mean-field spherical model with kinetic energy for finite and infinite system sizes.
dc.description21 pages, 11 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0701339
dc.identifierhttp://arxiv.org/abs/cond-mat/0701339
dc.identifierPhysica A 384, 318-334 (2007)
dc.identifierdoi:10.1016/j.physa.2007.05.043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138637
dc.subjectStatistical Mechanics
dc.titlePartial equivalence of statistical ensembles and kinetic energy
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